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arXiv · 1110.4512

A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field

C. A. Linhares·A. P. C. Malbouisson·M. L. Souza
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Abstract

We consider the Euclidean large-$N$ Ginzburg--Landau model in $D$ dimensions, $d$ ($d\leq D$) of them being compactified. For D=3, the system can be supposed to describe, in the cases of d=1, d=2, and d=3, respectively, a superconducting material in the form of a film, of an infinitely long wire having a rectangular cross-section and of a brick-shaped grain. We investigate the fixed-point structure of the model, in the presence of an external magnetic field. An infrared-stable fixed points is found, which is independent of the number of compactified dimensions. This generalizes previous work for type-II superconducting films

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C. A. Linhares, A. P. C. Malbouisson, M. L. Souza. 2011-10-20. A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field. https://doi.org/10.1209/0295-5075%2F96%2F31002

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